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  • CURRICULUM VITAE 

    Martyn R. Dixon 

     


    Address: Department of Mathematics
    University of Alabama
    Box 870350
    Tuscaloosa, AL 35487-0350
    Telephone: 205-348-5154

    EDUCATION

    1. University of Manchester, England; October 1973-July 1976. (First class honors degree in mathematics)

    2. University of Warwick, England; October 1976-September 1977 (M.Sc in pure mathematics)

    3. University of Warwick, England; October 1977-September 1979. (Ph.D. in pure mathematics) Ph.D. obtained Jan. 1980

    PH.D. THESIS TITLE: Formation Theory in a class of locally finite groups.
    THESIS ADVISOR: Dr. S. E. Stonehewer, University of Warwick, England.


    EMPLOYMENT HISTORY

    .
    1. August 1994-Present Time
    Employed as Professor of Mathematics in the Department of Mathematics,
    University of Alabama.
    2.August 1987 - August 1994
    Employed as Associate Professor in the Department of Mathematics,
    University of Alabama.
    3. August 1981 - August 1987
    Employed as Assistant Professor in the Department of Mathematics,
    University of Alabama.
    4. June 1980 - August 1981
    Employed as Visiting Assistant Professor in the Department of Mathematics,
    Southern Illinois University, Carbondale.
    5. August 1979 - May 1980
    Employed as Visiting Instructor in the Department of Mathematics,
    Southern Illinois University, Carbondale.

    TEACHING

    COURSES TAUGHT

    Precalculus Algebra & Trigonometry
    Precalculus Mathematics
    Introduction to Calculus
    Analytic Geometry & Calculus I
    Analytic Geometry & Calculus II
    Analytic Geometry & Calculus III
    Applied Matrix Theory
    Modern Algebra I
    Linear Algebra
    Mathematics for Elementary School Teachers
    Algebraic Number Theory
    Foundations of Mathematics
    Differential Equations
    Advanced Calculus
    History of Mathematics
    Discrete Mathematics

    GRADUATE COURSES TAUGHT

    Modern Algebra II
    The Representation Theory of Finite Groups
    Linear Groups
    Infinite Groups (reading courses)
    Abstract Algebra I
    Graph Theory
    Ring Theory

    Current Past
    Number of Ph.D. Committees Served On: 0 8
    Number of M.S. Committees Served On: 0 5
    Undergraduate supervised (Reading Courses): 0 2

    Past Ph.D. students: Hyunyong Shin, Myron Rigsby

    In addition, my Math 125 class was videotaped in Spring 1986, my Math 126 classes were videotaped in Spring 1988 and Summer 1992. My Math 227 class was videotaped in Fall 1995. This was done at the request of the Learning Skills Center. The tapes were deposited in the Learning Skills Center as an extra teaching aid for the students.


    RESEARCH

    My research publications can be found by clicking here.

    INVITED ADDRESSES AND OTHER ACADEMIC INVITATIONS

    1. “Existence of locally nilpotent projectors in locally finite groups with min-p,” presented at the St. Andrews Colloquium, University of St. Andrews, Scotland, July 1980.
    2. “Some properties of generalized wreath products”, presented at the University of Wisconsin-Parkside Colloquium, May 11, 1984.
    3. “Generalized wreath products” presented at the annual summer meeting of the Canadian Mathematical Society, Edmonton, Canada, June 1984.
    4. “The construction of infinite finitely generated periodic groups”, presented at the University of Kentucky Colloquium, Lexington, March 28, 1985.
    5. “Fitting classes of infinite groups”, presented at the group theory meeting, Oberwolfach, West Germany, May, 1987.
    6. “A history of the Burnside problem”, presented at the Korea National University of Education, Chungbuk, Korea, August 22, 1988.
    7. “A solution to the Burnside Problem”, presented at Dankook University, Seoul, Korea, August 23, 1988.
    8. “Automorphisms of groups with min-p for all p", presented at the University of Wisconsin-Parkside Colloquium, Nov. 4, 1988.
    9. “Automorphisms of Nilpotent Groups”, presented at the University of Glasgow, Scotland, November 16, 1989.
    10. “Automorphisms of Nilpotent Groups”, presented at the University of Nottingham, England, December 1, 1989.
    11. “Some groups which cannot be automorphism groups” presented at U.M.I.S.T., England, February 6, 1990.
    12. “Automorphism groups of groups”, a series of 3 lectures presented at the University of Zaragoza, Spain, May 1990.
    13. “Some groups which cannot be automorphism groups”, presented at the University of Wales, June 15, 1990.
    14. “Some groups which cannot be automorphism groups”, presented at the University of Kentucky Colloquium, Lexington, April 15, 1993.
    15. “The generalized Wielandt subgroup of a group”, presented at the AMS Special Session, University of Kentucky, March 1994.
    16. Invited participant at the NATO Advanced Study Institute on Finite and Locally Finite Groups, Istanbul, August, 1994.
    17. Visiting Distinguished Professor, Bucknell University, February, 1995.
    18. “Locally (soluble-by-finite) groups of finite rank”, presented at the University of Kentucky Colloquium, Lexington, March 30, 1995.
    19. “Rank conditions in groups”, a series of 12 lectures presented while I was a visiting Professor at Università degli Studi di Trento, Italy, May 1995.
    20. “Locally (soluble-by-finite) groups with rank conditions”, presented at the University of Wisconsin-Parkside Colloquium, April 19, 1996.
    21. “Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank”, presented at the AMS Special Session, Rider University, October 1996.
    22. "Groups with subgroups having prescribed properties", presented at the University of South Alabama Colloquium, April 17, 1997.
    23. Visiting Distinguished Professor, Bucknell University, April 1999.
    24. "Groups with the minimum condition on insoluble subgroups", presented at the University of Newcastle Algebra Seminar, March 10, 2000.
    25. “Groups with the minimum condition on insoluble subgroups”, presented at the University of Wales, June 8, 2000.
    26. Visiting Distinguished Professor, Bucknell University, April 2001.
    27. "The join of two disjoint permutable subgroups" and "Groups with various minimal conditions", presented at the Intensive Bimester of Group Theory, University of Napoli, Italy, May 2002.
    28. Visiting Distinguished Professor, Bucknell University, April 2003.
    29. “Groups with the maximal condition on non-FC-subgroups”, presented at the AMS Special Session, Binghamton University, October 2003.

    OTHER PRESENTATIONS GIVEN AT MATHEMATICAL MEETINGS

    1. “Conjugate Carter subgroups in groups with min-p for all p", presented at the Algebra Conference, Southern Illinois University, Carbondale, April 1980.
    2. “Formation theory in groups with min-p for all primes p", presented at the 87th Annual Meeting of the American Mathematical Society, San Francisco, January 1981. (Abstract appears in Abstracts of the American Mathematical Society).
    3. “Divisible automorphism groups”, presented at Groups-Korea 1988, August 1988.
    4. “Fitting classes in CC-groups”, presented at the Week-end Algebra Conference, University of Southern Mississippi, October, 1988.
    5. “Semicomplete Nilpotent Groups”, presented at Groups-St. Andrews 1989, University of St. Andrews, Scotland, August 1989.
    6. “Automorphisms of nilpotent and related groups, presented at Groups Galway/St. Andrews 93, University College, Galway, Ireland, August, 1993.
    7. “Group theory: then and now”, 4th Lewis-Parker Lecture, Alabama Association of College Teachers of Mathematics, Alabama A & M University, February, 1994.
    8. "Groups with subgroups having prescribed properties", presented at Groups 97, University of Bath, England, August 1997.
    9. "Groups that are covered by non-abelian simple groups", presented at the Spring Lecture Series, University of Arkansas, April, 1998.
    10. "The join of disjoint permutable subgroups", presented at the Weekend Algebra Conference, University of Southern Mississippi, April 2001.
    11. "Groups with the minimal condition on subgroups of infinite central dimension", presented at the Zasshenhaus Group Theory Conference, University of Evansville, March 2003.

    OTHER MEETINGS ATTENDED

    1. British Mathematical Colloquium at University College, London, March 1979.
    2. Midwest Group Theory Conference at the University of Illinois, Urbana, April 1981.
    3. The 87th Summer meeting of the American Mathematical Society at SUNY-Albany, New York, August 1983.
    4. Groups - St. Andrews 1985, The University of St. Andrews, Scotland, August 1985.
    5. Singapore Group Theory Conference, National University of Singapore, June 1987.
    6. Bucknell University Group Theory Conference, May 1991.
    7. Infinite groups and group rings, AMS special session, March 1992.
    8. Weekend Algebra Conference, University of Southern Mississippi, April 1992.
    9. Weekend Algebra Conference, University of Southern Mississippi, April 1995.
    10. Mathematical Association of America, Southeastern Section, Huntsville, Alabama, April 12, 1996.
    11. Alabama Association of College Teachers in Mathematics, University of Mobile, February, 1997.
    12. Mathematical Association of America, Southeastern section, Charleston, South Carolina, March 1998.

    RESEARCH GRANTS RECEIVED

    1. Generalized wreath products indexed by partially ordered sets (with T.A. Fournelle), awarded by the University of Alabama Research Grants Committee, 1983.
    2. Some problems concerning generalized nilpotent groups, awarded by the University of Alabama Research Grants Committee, 1984.
    3. Groups which cannot be automorphism groups, awarded by the University of Alabama Research Grants Committee, 1988.
    4. EPSCoR Travel Grant, 1992, awarded by State ESPCoR Committee.
    5. EPSCoR Travel Grant 1996, awarded by State EPSCoR Committee.
    6. EPSCoR Visitor Grant 1997 (for Howard Smith), awarded by State EPSCoR Committee.
    7. NATO Visiting Expert Grant 2002 (for Leonid Kurdachenko), awarded by NATO.


    SERVICE

    MEMBERSHIP IN PROFESSIONAL ASSOCIATIONS

    American Mathematical Society, Edinburgh Mathematical Society, London Mathematical Society

    PROFESSIONAL SERVICE

    1. Reviewer for Mathematical Reviews and Zentralblatt.
    2. Referee for: Quarterly Journal of Mathematics, Proceedings of the American Mathematical Society, Proceedings of the Edinburgh Mathematical Society, Journal of the London Mathematical Society, Communications in Algebra, Algebra Colloquium, Soochow Journal of Mathematics, Rend. Sem. Mat. University Padova, Glasgow Mathematical Journal, Journal of Algebra, Mathematische Nachrichten, Turkish Journal of Mathematics, Journal of Group Theory.
    3. Co-organizer of the American Mathematical Society special session on Infinite groups and group rings, Tuscaloosa, March 1992.
    4. Referee for the International Science Foundation.
    5. Referee for Comission Interministerial de Ciencia y Tecnologia, Spain.
    6. Book reviewer for McGraw-Hill.
    7. Outside Referee for Ph.D. thesis, University of Toledo.
    8. Wrote 3 entries for the Kluwer Encyclopedia of Mathematics.
    9. Member of Editorial Board for Communications in Algebra.
    10. External examiner for the Ph. D. dissertation of Tatiana Pedraza, University of Valencia, Spain.
    11. Member of Editorial Board for JP Journal of Algebra, Number Theory and Applications.

    SERVICE (At University of Alabama)

    1. Undergraduate Pure Mathematics Curriculum Committee, 1981-82.
    2. Undergraduate Curriculum Committee, 1982-83.
    3. Graduate Advisory Committee, 1983-84.
    4. Faculty representative to the Library, 1984-87.
    5. Chairman, recruiting committee, 1984-85.
    6. Graduate Advisory Committee, 1985-86.
    7. Chairman, Graduate Advisory Committee, 1986-87.
    8. Department Evaluation Committee, 1987-88.
    9. Co-Chairman, Department Review and Retention Committee, 1988-89.
    10. Chairman, Recruiting Committee, 1988-89.
    11. Undergraduate Curriculum Committee, 1990-91.
    12. Chairman, Department Tenure and Promotion Committee, 1990-91.
    13. College Special Studies Advisory Committee, 1990-94.
    14. Chairman, Department Promotion Committee, 1991-93.
    15. Undergraduate Scholarship Committee, 1993-94.
    16. Chairman, Recruiting Committee, 1993-94.
    17. Graduate Program Director, 1994-1999.
    18. Co-Chair Department Tenure and Promotion Committee 1995-96.
    19. University Academic Advising Committee 1995-1997.
    20. Calculus Textbook Committee, Spring 1996.
    21. Undergraduate Programs and Services Committee, 1997-1999.
    22. Chairman Search committee, 1998.
    23. College Tenure and Promotion Committee, 2000 – 2002.
    24. Alternate on Faculty Senate, 2000 – 2002.
    25. Introductory Mathematics Director Search Committee, 2000 – 2001.
    26. Chair of Departmental Search Committee for the Mathematics Education position 2002, 2003.
    27. A. and S. Scholarship committee, 2002.
    28. Graduate Council, 2003-present.
    29. Arts and Sciences Graduate Committee, 2003-present.
    30. Committee on Program and Degree Requirements, 2003-present.